TSTP Solution File: KLE113+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE113+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 01:50:22 EDT 2022

% Result   : Theorem 8.22s 2.62s
% Output   : CNFRefutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   6 RR)
%            Number of literals    :   20 (  19 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_14) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_2) ).

cnf(i_0_24,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_24) ).

cnf(i_0_12,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_12) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_4) ).

cnf(i_0_19,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(zero))))) != zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_19) ).

cnf(i_0_27,plain,
    multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-myvf7poj/input.p',i_0_27) ).

cnf(c_0_35,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_14 ).

cnf(c_0_36,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_37,plain,
    multiplication(X1,one) = X1,
    i_0_24 ).

cnf(c_0_38,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_12 ).

cnf(c_0_39,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_42,plain,
    addition(zero,antidomain(zero)) = one,
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_41,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(zero))))) != zero,
    i_0_19 ).

cnf(c_0_45,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    multiplication(X1,zero) = zero,
    i_0_27 ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_40]),c_0_46]),c_0_45]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : KLE113+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 11:10:36 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.22/2.62  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.22/2.62  # Version: 2.1pre011
% 8.22/2.62  # Preprocessing time       : 0.009 s
% 8.22/2.62  
% 8.22/2.62  # Proof found!
% 8.22/2.62  # SZS status Theorem
% 8.22/2.62  # SZS output start CNFRefutation
% See solution above
% 8.22/2.62  # Proof object total steps             : 20
% 8.22/2.62  # Proof object clause steps            : 13
% 8.22/2.62  # Proof object formula steps           : 7
% 8.22/2.62  # Proof object conjectures             : 3
% 8.22/2.62  # Proof object clause conjectures      : 2
% 8.22/2.62  # Proof object formula conjectures     : 1
% 8.22/2.62  # Proof object initial clauses used    : 7
% 8.22/2.62  # Proof object initial formulas used   : 7
% 8.22/2.62  # Proof object generating inferences   : 3
% 8.22/2.62  # Proof object simplifying inferences  : 8
% 8.22/2.62  # Training examples: 0 positive, 0 negative
% 8.22/2.62  # Parsed axioms                        : 20
% 8.22/2.62  # Removed by relevancy pruning/SinE    : 0
% 8.22/2.62  # Initial clauses                      : 20
% 8.22/2.62  # Removed in clause preprocessing      : 0
% 8.22/2.62  # Initial clauses in saturation        : 20
% 8.22/2.62  # Processed clauses                    : 32
% 8.22/2.62  # ...of these trivial                  : 1
% 8.22/2.62  # ...subsumed                          : 0
% 8.22/2.62  # ...remaining for further processing  : 31
% 8.22/2.62  # Other redundant clauses eliminated   : 0
% 8.22/2.62  # Clauses deleted for lack of memory   : 0
% 8.22/2.62  # Backward-subsumed                    : 0
% 8.22/2.62  # Backward-rewritten                   : 3
% 8.22/2.62  # Generated clauses                    : 203
% 8.22/2.62  # ...of the previous two non-trivial   : 104
% 8.22/2.62  # Contextual simplify-reflections      : 0
% 8.22/2.62  # Paramodulations                      : 203
% 8.22/2.62  # Factorizations                       : 0
% 8.22/2.62  # Equation resolutions                 : 0
% 8.22/2.62  # Propositional unsat checks           : 0
% 8.22/2.62  # Propositional unsat check successes  : 0
% 8.22/2.62  # Current number of processed clauses  : 28
% 8.22/2.62  #    Positive orientable unit clauses  : 25
% 8.22/2.62  #    Positive unorientable unit clauses: 1
% 8.22/2.62  #    Negative unit clauses             : 0
% 8.22/2.62  #    Non-unit-clauses                  : 2
% 8.22/2.62  # Current number of unprocessed clauses: 90
% 8.22/2.62  # ...number of literals in the above   : 90
% 8.22/2.62  # Current number of archived formulas  : 0
% 8.22/2.62  # Current number of archived clauses   : 3
% 8.22/2.62  # Clause-clause subsumption calls (NU) : 0
% 8.22/2.62  # Rec. Clause-clause subsumption calls : 0
% 8.22/2.62  # Non-unit clause-clause subsumptions  : 0
% 8.22/2.62  # Unit Clause-clause subsumption calls : 1
% 8.22/2.62  # Rewrite failures with RHS unbound    : 0
% 8.22/2.62  # BW rewrite match attempts            : 12
% 8.22/2.62  # BW rewrite match successes           : 9
% 8.22/2.62  # Condensation attempts                : 0
% 8.22/2.62  # Condensation successes               : 0
% 8.22/2.62  # Termbank termtop insertions          : 2077
% 8.22/2.62  
% 8.22/2.62  # -------------------------------------------------
% 8.22/2.62  # User time                : 0.008 s
% 8.22/2.62  # System time              : 0.003 s
% 8.22/2.62  # Total time               : 0.011 s
% 8.22/2.62  # ...preprocessing         : 0.009 s
% 8.22/2.62  # ...main loop             : 0.002 s
% 8.22/2.62  # Maximum resident set size: 7128 pages
% 8.22/2.62  
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